Determine the distance traveled from the following velocity data:
t | 1 | 2 | 3.25 | 4.5 | 6 | 7 | 8 | 8.5 | 9.3 | 10 |
v | 5 | 6 | 5.5 | 7 | 8.5 | 8 | 6 | 7 | 7 | 5 |
(a) Use the trapezoidal rule.
(b) Fit the data with a cubic equation using polynomial regression. Integrate the cubic equation to determine the distance.
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